Question

Select the correct description for each number set.
a) (25−−√, 9, −−−√64−−√)
b) ( -2.4, 0, 3.1, 81−−√)
c) (−23, 79, π2)
d) (12−−√, 11−−√, π) (Only rational numbers, Only irrational numbers, Both rational and irrational numbers)

Answer 1

a) Only rational numbers — √25 = 5, 9, √64 = 8 (all integers/rational).

b) Only rational numbers — −2.4 = −12/5, 0, 3.1 = 31/10, √81 = 9 (all rational).

c) Both rational and irrational numbers — −23 and 79 are rational (integers); π^2 (or π/2 if intended) is irrational, so the set has both.

d) Only irrational numbers — √12 and √11 are not perfect squares (irrational), and π is irrational.